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In: Statistics and Probability

25 players were asked about their salary. They were classified into pitchers and non-pitchers and the...

25 players were asked about their salary. They were classified into pitchers and non-pitchers and the following results were obtained:

14 launchers with sample mean of 4,296,106 and sample standard deviation of 4,434,937.
11 non-pitchers with sample mean of 4,167,579 and sample standard deviation of 4,484,641.

Assume that the population deviations are the same.

Considering a significance level of 0.05, what can be concluded (using p-value)? And mention the type of error that is being made.
Construct a confidence interval for the difference in wages of 95%

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